A cockle-induced bioturbation model and its impact on sediment erodibility: a meta-analysis.
SUPPLEMENTARY DATA
1 Introduction
NB: Graphs can be observed full screen by a right click + “Open image in new tab”
2 Materials and Methods
All data processing was conducted in R version 4.3.0 (2023-04-21 ucrt) and Matlab 2021a. Significance levels are p < .0001 with “****”, p < .001 with “***”, p < .01 with “**”, p < .05 with “*”.
2.1 Metabolic rate
2.2 Erosion data
2.3 Data treatment
2.4 Model building
2.4.1 Erosion model
| Equation 3 Qfluff(t0) Cases (q) | |
| 1 | Q_{fluff}(t_0)=Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon |
| 2 | Q_{fluff}(t_0)=(a_{QBio}.BioFact+b_{QBio}).(a_{QSed}.SedFact+b_{QSed}) |
| 3 | Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[a_{QSed}.SedFact+b_{QSed}] |
| 4 | Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[(e^{a_{Sed}.SedFact})+\iota] |
| 5 | Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[1-e^{(-a_{Sed}.SedFact)}+\iota] |
| 6 | Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[\frac{e^{-a_{Sed}.\ \frac{(SedFact-b_{Sed})^2}{2.{c_{Sed}}^2}}}{c_{Sed}.\sqrt{2\pi}}] |
| Equation 5 E0 Cases (m) | |
| 0 | E_0=a_{EBio}.E_{0ab} |
| Equation 6 Taucritmass Cases (tm) | |
| 0 | \tau_{mass} = a_{TBio}.\tau_{mass0ab} |
| 1 | \tau_{mass} = \tau_{mass0ab}.(a_{TBio}.BioFact+b_{TBio} ) |
| 2 | \tau_{mass} = \tau_{mass0ab}.(a_{TBio}.{BioFact}^{b_{TBio}+oo} ) |
| 3 | \tau_{mass} = \tau_{mass0ab}.(a_{TBio}.e^{(BioFact.b_{TBio})}+oo) |
2.4.2 Model adjustment
2.4.3 Model validation
3 Results
3.1 Model pre-adjustments
3.1.1 Creation of the fluff layer (I.)
The Durbin Watson score for the validated Qfluff(t0) model is 1.598 (p-value 0.041).
3.1.2 Abiotic sediment erodibility: control mass erosion (II.)
3.2 Individual fluff & mass erosion (III.)
3.3 Type of sediment, fluff & mass erosion
3.4 Global fluff & mass adjustment
3.5 Global fluff adjustment (V.): the selected model
3.6 Other parameterization tests
| Equation 7 | |
| \tau_{fluff}(t)=\tau_{fluff}+zrhof.(1-\frac{Q_{fluff}(t)}{Q_{fluff}(t_0)}) | |
| Equation 8 | |
| A | \tau_{mass}(t)=\tau_{mass0}-zrhom.Q_{mass}(t) |
| B | \tau_{mass}(t)=\tau_{mass0}.e^{(1-zrhom.Q_{mass}(t))}+\theta |
| C | \tau_{mass}(t)=(\theta-\tau_{mass0}).e^{(zrhom.Q_{mass}(t))}+\tau_{mass0} |
| Equation 9 | |
| A | E_{0ab}=(a_{ESed}.SedFact+b_{ESed}) |
| B | E_{0ab}=a_{ESed}.e^{(SedFact^{b_{ESed}})}+\upsilon |
| Equation 10 | |
| A | \tau_{mass0ab}=a_{TSed}.SedFact+b_{TSed} |
| B | \tau_{mass0ab}=a_{TSed}.{SedFact}^{b_{TSed}}+\omega |
| C | \tau_{mass0ab}=a_{TSed}.e^{SedFact.b_{TSed}}+\omega |
3.7 Results tables
| Run | Cond_Fact | Cond_Biom | Silt_content | Itot_mWm2_Ero | Equation_3 | Equation_2 | Equation_4 | Equation_5 | Equation_6 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Qinf | aQBio | epsilon | aQSed | iota | Alpha | tau_crit_fluff | omicron | E0 | tau_crit_mass | E0ab | tm0ab | aEBio | aTBio | bTBio | oo | |||||
| I. Creation of th fluff layer | ||||||||||||||||||||
| All | All | All | - | - | 20.163 | 0.01 | 11.837 | 1.815 | 1.12 | - | - | - | - | - | - | - | - | - | - | - |
| II. Abiotic sediment erodibility | ||||||||||||||||||||
| Cozzoli_2020 | 0P | All | 0 | - | - | - | - | - | - | - | - | - | 0.014 | 0.037 | 0.014 | 0.037 | - | - | - | - |
| Li_2017 | NonCoh | All | 0 | - | - | - | - | - | - | - | - | - | 0.047 | 0.076 | 0.047 | 0.076 | - | - | - | - |
| Orvain_2022 | S100V0 | All | 0 | - | - | - | - | - | - | - | - | - | 0.083 | 0.383 | 0.083 | 0.383 | - | - | - | - |
| Cozzoli_2020 | 4P | All | 0.04 | - | - | - | - | - | - | - | - | - | 0.071 | 0.074 | 0.071 | 0.074 | - | - | - | - |
| Dairain_2019 | NoPHY_MPB | All | 0.044 | - | - | - | - | - | - | - | - | - | 1.201 | 0.752 | 1.201 | 0.752 | - | - | - | - |
| Dairain_2019 | NoPHY_NoMPB | All | 0.044 | - | - | - | - | - | - | - | - | - | 0.271 | 0.496 | 0.271 | 0.496 | - | - | - | - |
| Dairain_2019 | PHY_MPB | All | 0.044 | - | - | - | - | - | - | - | - | - | 2.282 | 1.061 | 2.282 | 1.061 | - | - | - | - |
| Dairain_2019 | PHY_NoMPB | All | 0.044 | - | - | - | - | - | - | - | - | - | 0.018 | 0.169 | 0.018 | 0.169 | - | - | - | - |
| Orvain_2022 | S75V25 | All | 0.085 | - | - | - | - | - | - | - | - | - | 0.398 | 0.49 | 0.398 | 0.49 | - | - | - | - |
| Cozzoli_2020 | 10P | All | 0.1 | - | - | - | - | - | - | - | - | - | 0.05 | 0.105 | 0.05 | 0.105 | - | - | - | - |
| Cozzoli_2018 | MudSand | All | 0.12 | - | - | - | - | - | - | - | - | - | 2.943 × 10−12 | 5.839 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | - | - | - | - |
| Orvain_2022 | S50V50 | All | 0.179 | - | - | - | - | - | - | - | - | - | 0.35 | 0.473 | 0.35 | 0.473 | - | - | - | - |
| Cozzoli_2020 | 28P | All | 0.28 | - | - | - | - | - | - | - | - | - | 0.001 | 0.018 | 0.001 | 0.018 | - | - | - | - |
| Orvain_2022 | S25V75 | All | 0.281 | - | - | - | - | - | - | - | - | - | 0.265 | 0.516 | 0.265 | 0.516 | - | - | - | - |
| Li_2017 | Coh | All | 0.32 | - | - | - | - | - | - | - | - | - | 1.000 × 10−3 | 1 | 1.000 × 10−3 | 1 | - | - | - | - |
| Orvain_2022 | S0V100 | All | 0.357 | - | - | - | - | - | - | - | - | - | 0.341 | 0.728 | 0.341 | 0.728 | - | - | - | - |
| Ciutat_2007 | Natural | All | 0.723 | - | - | - | - | - | - | - | - | - | 0.012 | 0.154 | 0.012 | 0.154 | - | - | - | - |
| III. Individual fluff erosion | ||||||||||||||||||||
| Cozzoli_2020 | 0P | 0P_CONT | 0 | 0 | - | - | - | - | - | 2.609 × 10−14 | 0.052 | 0.031 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 0P | 0P_F15 | 0 | 88.357 | - | - | - | - | - | 2.553 × 10−5 | 0.02 | 0.026 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 0P | 0P_F20 | 0 | 71.449 | - | - | - | - | - | 1.385 × 10−4 | 0.046 | 0.011 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 0P | 0P_F27 | 0 | 57.419 | - | - | - | - | - | 6.351 × 10−7 | 0.005 | 0.019 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 0P | 0P_F35 | 0 | 47.513 | - | - | - | - | - | 1.625 × 10−11 | 0.073 | 0.026 | - | - | - | - | - | - | - | - |
| Li_2017 | NonCoh | NonCoh_High | 0 | 127.527 | - | - | - | - | - | 0.308 | 0.198 | 0.034 | - | - | - | - | - | - | - | - |
| Li_2017 | NonCoh | NonCoh_Low | 0 | 42.652 | - | - | - | - | - | 3.409 × 10−4 | 0.128 | 0.089 | - | - | - | - | - | - | - | - |
| Li_2017 | NonCoh | NonCoh_None | 0 | 0 | - | - | - | - | - | 1.247 × 10−4 | 0.128 | 0.113 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S100V0 | S100V0_Adul | 0 | 319.329 | - | - | - | - | - | 5.765 × 10−4 | 1.107 | 0.432 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S100V0 | S100V0_Cont | 0 | 0 | - | - | - | - | - | 4.163 × 10−14 | 0.65 | 0.129 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S100V0 | S100V0_Juve | 0 | 368.327 | - | - | - | - | - | 3.049 × 10−12 | 0.673 | 0.187 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 4P | 4P_CONT | 0.04 | 0 | - | - | - | - | - | 0 | 0.096 | 0.073 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 4P | 4P_F15 | 0.04 | 88.357 | - | - | - | - | - | 9.896 × 10−5 | 0.02 | 0.151 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 4P | 4P_F20 | 0.04 | 71.449 | - | - | - | - | - | 0.104 | 0.021 | 0.017 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 4P | 4P_F27 | 0.04 | 57.419 | - | - | - | - | - | 8.710 × 10−5 | 0.02 | 0.124 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 4P | 4P_F35 | 0.04 | 47.513 | - | - | - | - | - | 0.004 | 0.051 | 0.23 | - | - | - | - | - | - | - | - |
| Dairain_2019 | NoPHY_MPB | NoPHY_MPB_Low | 0.044 | 46.964 | - | - | - | - | - | 5.551 × 10−16 | 0.186 | 0.162 | - | - | - | - | - | - | - | - |
| Dairain_2019 | NoPHY_MPB | NoPHY_MPB_Medium | 0.044 | 117.41 | - | - | - | - | - | 4.163 × 10−14 | 0.113 | 0.272 | - | - | - | - | - | - | - | - |
| Dairain_2019 | NoPHY_MPB | NoPHY_MPB_None | 0.044 | 0 | - | - | - | - | - | 6.600 × 10−13 | 1.066 | 0.964 | - | - | - | - | - | - | - | - |
| Dairain_2019 | NoPHY_NoMPB | NoPHY_NoMPB_Low | 0.044 | 46.964 | - | - | - | - | - | 2.322 × 10−5 | 0.217 | 0.215 | - | - | - | - | - | - | - | - |
| Dairain_2019 | NoPHY_NoMPB | NoPHY_NoMPB_Medium | 0.044 | 117.41 | - | - | - | - | - | 7.216 × 10−15 | 0.119 | 0.277 | - | - | - | - | - | - | - | - |
| Dairain_2019 | NoPHY_NoMPB | NoPHY_NoMPB_None | 0.044 | 0 | - | - | - | - | - | 1.332 × 10−14 | 0.798 | 0.408 | - | - | - | - | - | - | - | - |
| Dairain_2019 | PHY_MPB | PHY_MPB_Low | 0.044 | 46.964 | - | - | - | - | - | 2.720 × 10−14 | 0.305 | 0.286 | - | - | - | - | - | - | - | - |
| Dairain_2019 | PHY_MPB | PHY_MPB_Medium | 0.044 | 117.41 | - | - | - | - | - | 1.404 × 10−4 | 0.149 | 0.268 | - | - | - | - | - | - | - | - |
| Dairain_2019 | PHY_MPB | PHY_MPB_None | 0.044 | 0 | - | - | - | - | - | 0.006 | 1.278 | 1.595 | - | - | - | - | - | - | - | - |
| Dairain_2019 | PHY_NoMPB | PHY_NoMPB_Low | 0.044 | 46.964 | - | - | - | - | - | 0 | 0.129 | 0.228 | - | - | - | - | - | - | - | - |
| Dairain_2019 | PHY_NoMPB | PHY_NoMPB_Medium | 0.044 | 117.41 | - | - | - | - | - | 7.216 × 10−14 | 0.12 | 0.288 | - | - | - | - | - | - | - | - |
| Dairain_2019 | PHY_NoMPB | PHY_NoMPB_None | 0.044 | 0 | - | - | - | - | - | 2.554 × 10−14 | 0.424 | 0.061 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S75V25 | S75V25_Adul | 0.085 | 247.3 | - | - | - | - | - | 1.110 × 10−15 | 0.541 | 0.397 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S75V25 | S75V25_Cont | 0.085 | 0 | - | - | - | - | - | 6.661 × 10−15 | 0.663 | 0.363 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S75V25 | S75V25_Juve | 0.085 | 317.314 | - | - | - | - | - | 4.441 × 10−15 | 0.669 | 0.59 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 10P | 10P_CONT | 0.1 | 0 | - | - | - | - | - | 0.015 | 0.166 | 0.054 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 10P | 10P_F15 | 0.1 | 88.357 | - | - | - | - | - | 6.162 × 10−14 | 0.037 | 0.038 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 10P | 10P_F20 | 0.1 | 71.449 | - | - | - | - | - | 5.113 × 10−13 | 0.055 | 0.056 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 10P | 10P_F35 | 0.1 | 47.513 | - | - | - | - | - | 0 | 0.023 | 0.027 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_High | 0.12 | 288.453 | - | - | - | - | - | 4.391 | 0.184 | 0.005 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_Low | 0.12 | 48.076 | - | - | - | - | - | 0 | 1.725 × 10−5 | 0.008 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_Medium | 0.12 | 96.151 | - | - | - | - | - | 0 | 0.021 | 0.013 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_Sparse | 0.12 | 19.23 | - | - | - | - | - | 4.857 × 10−12 | 1.237 × 10−9 | 0.002 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_High | 0.12 | 94.475 | - | - | - | - | - | 10 | 0.184 | 9.770 × 10−14 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_Low | 0.12 | 23.619 | - | - | - | - | - | 3.331 × 10−15 | 0.019 | 0.008 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_Medium | 0.12 | 47.238 | - | - | - | - | - | 2.054 × 10−14 | 0.004 | 0.008 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_Sparse | 0.12 | 11.809 | - | - | - | - | - | 5.218 × 10−14 | 0.044 | 0.011 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_None | 0.12 | 0 | - | - | - | - | - | 2.107 × 10−11 | 3.665 × 10−8 | 0.004 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Small_High | 0.12 | 24.902 | - | - | - | - | - | 4.774 × 10−14 | 0.103 | 0.048 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Small_Low | 0.12 | 6.225 | - | - | - | - | - | 2.548 × 10−13 | 0.017 | 0.006 | - | - | - | - | - | - | - | - |
| Cozzoli_2018 | MudSand | MudSand_Small_Medium | 0.12 | 12.451 | - | - | - | - | - | 5.551 × 10−13 | 0.012 | 0.008 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S50V50 | S50V50_Adul | 0.179 | 277.488 | - | - | - | - | - | 1.662 × 10−12 | 1.121 | 0.27 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S50V50 | S50V50_Cont | 0.179 | 0 | - | - | - | - | - | 7.772 × 10−15 | 0.712 | 0.606 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S50V50 | S50V50_Juve | 0.179 | 346.699 | - | - | - | - | - | 5.551 × 10−16 | 0.807 | 0.373 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 28P | 28P_CONT | 0.28 | 0 | - | - | - | - | - | 2.250 × 10−4 | 0.046 | 0.001 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 28P | 28P_F15 | 0.28 | 88.357 | - | - | - | - | - | 2.498 × 10−14 | 0.04 | 0.037 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 28P | 28P_F20 | 0.28 | 71.449 | - | - | - | - | - | 3.070 × 10−13 | 0.075 | 0.042 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 28P | 28P_F27 | 0.28 | 57.419 | - | - | - | - | - | 1.110 × 10−14 | 0.021 | 0.02 | - | - | - | - | - | - | - | - |
| Cozzoli_2020 | 28P | 28P_F35 | 0.28 | 47.513 | - | - | - | - | - | 2.282 × 10−5 | 0.046 | 0.037 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S25V75 | S25V75_Adul | 0.281 | 232.219 | - | - | - | - | - | 1.443 × 10−14 | 0.761 | 0.656 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S25V75 | S25V75_Cont | 0.281 | 0 | - | - | - | - | - | 3.664 × 10−14 | 0.796 | 0.425 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S25V75 | S25V75_Juve | 0.281 | 309.013 | - | - | - | - | - | 1.565 × 10−13 | 0.806 | 0.341 | - | - | - | - | - | - | - | - |
| Li_2017 | Coh | Coh_High | 0.32 | 127.527 | - | - | - | - | - | 0 | 0.041 | 0.052 | - | - | - | - | - | - | - | - |
| Li_2017 | Coh | Coh_Low | 0.32 | 42.652 | - | - | - | - | - | 3.546 × 10−5 | 0.082 | 0.049 | - | - | - | - | - | - | - | - |
| Li_2017 | Coh | Coh_None | 0.32 | 0 | - | - | - | - | - | 1.000 × 10−4 | 1 | 0 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S0V100 | S0V100_Adul | 0.357 | 267.941 | - | - | - | - | - | 5.551 × 10−16 | 0.658 | 0.263 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S0V100 | S0V100_Cont | 0.357 | 0 | - | - | - | - | - | 3.914 × 10−13 | 1.127 | 0.543 | - | - | - | - | - | - | - | - |
| Orvain_2022 | S0V100 | S0V100_Juve | 0.357 | 345.244 | - | - | - | - | - | 1.554 × 10−14 | 0.66 | 0.349 | - | - | - | - | - | - | - | - |
| Ciutat_2007 | Natural | Natural_High | 0.723 | 311.797 | - | - | - | - | - | 0 | 0.119 | 0.063 | - | - | - | - | - | - | - | - |
| Ciutat_2007 | Natural | Natural_Low | 0.723 | 47.064 | - | - | - | - | - | 1.943 × 10−14 | 0.181 | 0.024 | - | - | - | - | - | - | - | - |
| Ciutat_2007 | Natural | Natural_Medium | 0.723 | 141.191 | - | - | - | - | - | 8.327 × 10−15 | 0.144 | 0.034 | - | - | - | - | - | - | - | - |
| Ciutat_2007 | Natural | Natural_None | 0.723 | 0 | - | - | - | - | - | 9.870 × 10−13 | 0.205 | 0.011 | - | - | - | - | - | - | - | - |
| III. Individual mass erosion | ||||||||||||||||||||
| Cozzoli_2020 | 0P | 0P_F15 | 0 | 88.357 | - | - | - | - | - | - | - | - | 1.174 × 10−12 | 4.767 × 10−12 | 0.014 | 0.037 | 8.663 × 10−11 | 1.304 × 10−10 | - | - |
| Cozzoli_2020 | 0P | 0P_CONT | 0 | 0 | - | - | - | - | - | - | - | - | 0.014 | 0.037 | 0.014 | 0.037 | 1 | 1 | - | - |
| Cozzoli_2020 | 0P | 0P_F20 | 0 | 71.449 | - | - | - | - | - | - | - | - | 2.050 × 10−11 | 1.668 × 10−10 | 0.014 | 0.037 | 1.513 × 10−9 | 4.563 × 10−9 | - | - |
| Cozzoli_2020 | 0P | 0P_F27 | 0 | 57.419 | - | - | - | - | - | - | - | - | 4.528 × 10−12 | 1.764 × 10−11 | 0.014 | 0.037 | 3.341 × 10−10 | 4.826 × 10−10 | - | - |
| Cozzoli_2020 | 0P | 0P_F35 | 0 | 47.513 | - | - | - | - | - | - | - | - | 0.002 | 0.008 | 0.014 | 0.037 | 0.114 | 0.214 | - | - |
| Li_2017 | NonCoh | NonCoh_None | 0 | 0 | - | - | - | - | - | - | - | - | 0.047 | 0.076 | 0.047 | 0.076 | 1 | 1 | - | - |
| Li_2017 | NonCoh | NonCoh_High | 0 | 127.527 | - | - | - | - | - | - | - | - | 0.082 | 0.101 | 0.047 | 0.076 | 1.754 | 1.324 | - | - |
| Li_2017 | NonCoh | NonCoh_Low | 0 | 42.652 | - | - | - | - | - | - | - | - | 0.032 | 0.073 | 0.047 | 0.076 | 0.681 | 0.96 | - | - |
| Orvain_2022 | S100V0 | S100V0_Adul | 0 | 319.329 | - | - | - | - | - | - | - | - | 0.256 | 0.608 | 0.083 | 0.383 | 3.063 | 1.587 | - | - |
| Orvain_2022 | S100V0 | S100V0_Cont | 0 | 0 | - | - | - | - | - | - | - | - | 0.083 | 0.383 | 0.083 | 0.383 | 1 | 1 | - | - |
| Orvain_2022 | S100V0 | S100V0_Juve | 0 | 368.327 | - | - | - | - | - | - | - | - | 0.123 | 0.462 | 0.083 | 0.383 | 1.478 | 1.207 | - | - |
| Cozzoli_2020 | 4P | 4P_F15 | 0.04 | 88.357 | - | - | - | - | - | - | - | - | 0.004 | 0.002 | 0.071 | 0.074 | 0.055 | 0.028 | - | - |
| Cozzoli_2020 | 4P | 4P_CONT | 0.04 | 0 | - | - | - | - | - | - | - | - | 0.071 | 0.074 | 0.071 | 0.074 | 1 | 1 | - | - |
| Cozzoli_2020 | 4P | 4P_F20 | 0.04 | 71.449 | - | - | - | - | - | - | - | - | 0.008 | 0.003 | 0.071 | 0.074 | 0.113 | 0.041 | - | - |
| Cozzoli_2020 | 4P | 4P_F27 | 0.04 | 57.419 | - | - | - | - | - | - | - | - | 0.006 | 0.004 | 0.071 | 0.074 | 0.082 | 0.048 | - | - |
| Cozzoli_2020 | 4P | 4P_F35 | 0.04 | 47.513 | - | - | - | - | - | - | - | - | 0.055 | 0.029 | 0.071 | 0.074 | 0.773 | 0.396 | - | - |
| Dairain_2019 | PHY_MPB | PHY_MPB_None | 0.044 | 0 | - | - | - | - | - | - | - | - | 2.282 | 1.061 | 2.282 | 1.061 | 1 | 1 | - | - |
| Dairain_2019 | PHY_NoMPB | PHY_NoMPB_None | 0.044 | 0 | - | - | - | - | - | - | - | - | 0.018 | 0.169 | 0.018 | 0.169 | 1 | 1 | - | - |
| Dairain_2019 | PHY_MPB | PHY_MPB_Low | 0.044 | 46.964 | - | - | - | - | - | - | - | - | 0.098 | 0.132 | 2.282 | 1.061 | 0.043 | 0.125 | - | - |
| Dairain_2019 | PHY_NoMPB | PHY_NoMPB_Low | 0.044 | 46.964 | - | - | - | - | - | - | - | - | 5.563 × 10−4 | 8.990 × 10−4 | 0.018 | 0.169 | 0.031 | 0.005 | - | - |
| Dairain_2019 | PHY_MPB | PHY_MPB_Medium | 0.044 | 117.41 | - | - | - | - | - | - | - | - | 0.043 | 0.048 | 2.282 | 1.061 | 0.019 | 0.045 | - | - |
| Dairain_2019 | PHY_NoMPB | PHY_NoMPB_Medium | 0.044 | 117.41 | - | - | - | - | - | - | - | - | 3.065 × 10−12 | 3.386 × 10−12 | 0.018 | 0.169 | 1.720 × 10−10 | 1.998 × 10−11 | - | - |
| Dairain_2019 | NoPHY_MPB | NoPHY_MPB_None | 0.044 | 0 | - | - | - | - | - | - | - | - | 1.201 | 0.752 | 1.201 | 0.752 | 1 | 1 | - | - |
| Dairain_2019 | NoPHY_NoMPB | NoPHY_NoMPB_None | 0.044 | 0 | - | - | - | - | - | - | - | - | 0.271 | 0.496 | 0.271 | 0.496 | 1 | 1 | - | - |
| Dairain_2019 | NoPHY_MPB | NoPHY_MPB_Low | 0.044 | 46.964 | - | - | - | - | - | - | - | - | 0.036 | 0.077 | 1.201 | 0.752 | 0.03 | 0.103 | - | - |
| Dairain_2019 | NoPHY_NoMPB | NoPHY_NoMPB_Low | 0.044 | 46.964 | - | - | - | - | - | - | - | - | 0.029 | 0.057 | 0.271 | 0.496 | 0.106 | 0.114 | - | - |
| Dairain_2019 | NoPHY_MPB | NoPHY_MPB_Medium | 0.044 | 117.41 | - | - | - | - | - | - | - | - | 0.012 | 0.012 | 1.201 | 0.752 | 0.01 | 0.016 | - | - |
| Dairain_2019 | NoPHY_NoMPB | NoPHY_NoMPB_Medium | 0.044 | 117.41 | - | - | - | - | - | - | - | - | 0.04 | 0.032 | 0.271 | 0.496 | 0.147 | 0.064 | - | - |
| Orvain_2022 | S75V25 | S75V25_Adul | 0.085 | 247.3 | - | - | - | - | - | - | - | - | 0.119 | 0.219 | 0.398 | 0.49 | 0.3 | 0.446 | - | - |
| Orvain_2022 | S75V25 | S75V25_Cont | 0.085 | 0 | - | - | - | - | - | - | - | - | 0.398 | 0.49 | 0.398 | 0.49 | 1 | 1 | - | - |
| Orvain_2022 | S75V25 | S75V25_Juve | 0.085 | 317.314 | - | - | - | - | - | - | - | - | 0.266 | 0.378 | 0.398 | 0.49 | 0.668 | 0.771 | - | - |
| Cozzoli_2020 | 10P | 10P_F15 | 0.1 | 88.357 | - | - | - | - | - | - | - | - | 1.430 × 10−5 | 3.710 × 10−5 | 0.05 | 0.105 | 2.889 × 10−4 | 3.532 × 10−4 | - | - |
| Cozzoli_2020 | 10P | 10P_CONT | 0.1 | 0 | - | - | - | - | - | - | - | - | 0.05 | 0.105 | 0.05 | 0.105 | 1 | 1 | - | - |
| Cozzoli_2020 | 10P | 10P_F20 | 0.1 | 71.449 | - | - | - | - | - | - | - | - | 0.001 | 0.003 | 0.05 | 0.105 | 0.021 | 0.025 | - | - |
| Cozzoli_2020 | 10P | 10P_F35 | 0.1 | 47.513 | - | - | - | - | - | - | - | - | 0.001 | 0.004 | 0.05 | 0.105 | 0.027 | 0.042 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_Medium | 0.12 | 96.151 | - | - | - | - | - | - | - | - | 1.311 × 10−12 | 1.179 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 0.446 | 0.202 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_Sparse | 0.12 | 19.23 | - | - | - | - | - | - | - | - | 4.026 × 10−15 | 6.148 × 10−14 | 2.943 × 10−12 | 5.839 × 10−11 | 0.001 | 0.001 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_High | 0.12 | 288.453 | - | - | - | - | - | - | - | - | 1.191 × 10−11 | 3.137 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 4.047 | 0.537 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_Low | 0.12 | 48.076 | - | - | - | - | - | - | - | - | 5.808 × 10−14 | 6.385 × 10−13 | 2.943 × 10−12 | 5.839 × 10−11 | 0.02 | 0.011 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_Low | 0.12 | 23.619 | - | - | - | - | - | - | - | - | 1.299 × 10−14 | 1.516 × 10−13 | 2.943 × 10−12 | 5.839 × 10−11 | 0.004 | 0.003 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_Medium | 0.12 | 47.238 | - | - | - | - | - | - | - | - | 1.126 × 10−14 | 1.311 × 10−13 | 2.943 × 10−12 | 5.839 × 10−11 | 0.004 | 0.002 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_High | 0.12 | 94.475 | - | - | - | - | - | - | - | - | 9.835 × 10−12 | 4.537 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 3.342 | 0.777 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_Sparse | 0.12 | 11.809 | - | - | - | - | - | - | - | - | 5.265 × 10−13 | 5.726 × 10−12 | 2.943 × 10−12 | 5.839 × 10−11 | 0.179 | 0.098 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Small_Low | 0.12 | 6.225 | - | - | - | - | - | - | - | - | 5.351 × 10−15 | 7.716 × 10−14 | 2.943 × 10−12 | 5.839 × 10−11 | 0.002 | 0.001 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Small_Medium | 0.12 | 12.451 | - | - | - | - | - | - | - | - | 2.754 × 10−14 | 3.256 × 10−13 | 2.943 × 10−12 | 5.839 × 10−11 | 0.009 | 0.006 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Small_High | 0.12 | 24.902 | - | - | - | - | - | - | - | - | 1.078 × 10−11 | 5.525 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 3.663 | 0.946 | - | - |
| Cozzoli_2018 | MudSand | MudSand_None | 0.12 | 0 | - | - | - | - | - | - | - | - | 6.729 × 10−18 | 1.335 × 10−16 | 2.943 × 10−12 | 5.839 × 10−11 | 2.287 × 10−6 | 2.287 × 10−6 | - | - |
| Orvain_2022 | S50V50 | S50V50_Adul | 0.179 | 277.488 | - | - | - | - | - | - | - | - | 0.124 | 0.618 | 0.35 | 0.473 | 0.355 | 1.306 | - | - |
| Orvain_2022 | S50V50 | S50V50_Cont | 0.179 | 0 | - | - | - | - | - | - | - | - | 0.35 | 0.473 | 0.35 | 0.473 | 1 | 1 | - | - |
| Orvain_2022 | S50V50 | S50V50_Juve | 0.179 | 346.699 | - | - | - | - | - | - | - | - | 0.096 | 0.374 | 0.35 | 0.473 | 0.274 | 0.792 | - | - |
| Cozzoli_2020 | 28P | 28P_F15 | 0.28 | 88.357 | - | - | - | - | - | - | - | - | 1.058 × 10−11 | 2.795 × 10−11 | 0.001 | 0.018 | 8.012 × 10−9 | 1.557 × 10−9 | - | - |
| Cozzoli_2020 | 28P | 28P_CONT | 0.28 | 0 | - | - | - | - | - | - | - | - | 0.001 | 0.018 | 0.001 | 0.018 | 1 | 1 | - | - |
| Cozzoli_2020 | 28P | 28P_F20 | 0.28 | 71.449 | - | - | - | - | - | - | - | - | 0.002 | 0.007 | 0.001 | 0.018 | 1.596 | 0.374 | - | - |
| Cozzoli_2020 | 28P | 28P_F27 | 0.28 | 57.419 | - | - | - | - | - | - | - | - | 2.689 × 10−4 | 0.001 | 0.001 | 0.018 | 0.204 | 0.07 | - | - |
| Cozzoli_2020 | 28P | 28P_F35 | 0.28 | 47.513 | - | - | - | - | - | - | - | - | 0.001 | 0.005 | 0.001 | 0.018 | 1.03 | 0.285 | - | - |
| Orvain_2022 | S25V75 | S25V75_Adul | 0.281 | 232.219 | - | - | - | - | - | - | - | - | 0.232 | 0.391 | 0.265 | 0.516 | 0.876 | 0.757 | - | - |
| Orvain_2022 | S25V75 | S25V75_Cont | 0.281 | 0 | - | - | - | - | - | - | - | - | 0.265 | 0.516 | 0.265 | 0.516 | 1 | 1 | - | - |
| Orvain_2022 | S25V75 | S25V75_Juve | 0.281 | 309.013 | - | - | - | - | - | - | - | - | 0.092 | 0.391 | 0.265 | 0.516 | 0.347 | 0.757 | - | - |
| Li_2017 | Coh | Coh_None | 0.32 | 0 | - | - | - | - | - | - | - | - | 1.000 × 10−3 | 1 | 1.000 × 10−3 | 1 | 1 | 1 | - | - |
| Li_2017 | Coh | Coh_High | 0.32 | 127.527 | - | - | - | - | - | - | - | - | 4.955 × 10−11 | 1.285 × 10−10 | 1.000 × 10−3 | 1 | 4.955 × 10−8 | 1.285 × 10−10 | - | - |
| Li_2017 | Coh | Coh_Low | 0.32 | 42.652 | - | - | - | - | - | - | - | - | 8.064 × 10−11 | 4.409 × 10−10 | 1.000 × 10−3 | 1 | 8.064 × 10−8 | 4.409 × 10−10 | - | - |
| Orvain_2022 | S0V100 | S0V100_Adul | 0.357 | 267.941 | - | - | - | - | - | - | - | - | 0.068 | 0.27 | 0.341 | 0.728 | 0.2 | 0.371 | - | - |
| Orvain_2022 | S0V100 | S0V100_Cont | 0.357 | 0 | - | - | - | - | - | - | - | - | 0.341 | 0.728 | 0.341 | 0.728 | 1 | 1 | - | - |
| Orvain_2022 | S0V100 | S0V100_Juve | 0.357 | 345.244 | - | - | - | - | - | - | - | - | 0.111 | 0.353 | 0.341 | 0.728 | 0.324 | 0.485 | - | - |
| Ciutat_2007 | Natural | Natural_High | 0.723 | 311.797 | - | - | - | - | - | - | - | - | 0.013 | 0.039 | 0.012 | 0.154 | 1.048 | 0.25 | - | - |
| Ciutat_2007 | Natural | Natural_Low | 0.723 | 47.064 | - | - | - | - | - | - | - | - | 0.017 | 0.105 | 0.012 | 0.154 | 1.403 | 0.681 | - | - |
| Ciutat_2007 | Natural | Natural_Medium | 0.723 | 141.191 | - | - | - | - | - | - | - | - | 0.015 | 0.075 | 0.012 | 0.154 | 1.185 | 0.484 | - | - |
| Ciutat_2007 | Natural | Natural_None | 0.723 | 0 | - | - | - | - | - | - | - | - | 0.012 | 0.154 | 0.012 | 0.154 | 1 | 1 | - | - |
| III. Individual fluff & mass erosion | ||||||||||||||||||||
| Cozzoli_2020 | 0P | 0P_CONT | 0 | 0 | - | - | - | - | - | 0.017 | 0.119 | 9.392 × 10−13 | 0.009 | 0.034 | 0.014 | 0.037 | 0.677 | 0.937 | - | - |
| Cozzoli_2020 | 0P | 0P_F15 | 0 | 88.357 | - | - | - | - | - | 2.707 × 10−4 | 0.014 | 1.425 × 10−10 | 0.003 | 0.02 | 0.014 | 0.037 | 0.214 | 0.534 | - | - |
| Cozzoli_2020 | 0P | 0P_F20 | 0 | 71.449 | - | - | - | - | - | 0.085 | 4.058 | 0.005 | 1.037 × 10−12 | 8.439 × 10−12 | 0.014 | 0.037 | 7.653 × 10−11 | 2.309 × 10−10 | - | - |
| Cozzoli_2020 | 0P | 0P_F27 | 0 | 57.419 | - | - | - | - | - | 9.110 × 10−4 | 0.016 | 1.937 × 10−13 | 5.484 × 10−4 | 0.004 | 0.014 | 0.037 | 0.04 | 0.111 | - | - |
| Cozzoli_2020 | 0P | 0P_F35 | 0 | 47.513 | - | - | - | - | - | 5.718 × 10−5 | 0.02 | 0.005 | 0.006 | 0.039 | 0.014 | 0.037 | 0.468 | 1.073 | - | - |
| Li_2017 | NonCoh | NonCoh_High | 0 | 127.527 | - | - | - | - | - | 2.162 | 0.326 | 0.487 | 0.031 | 0.066 | 0.047 | 0.076 | 0.652 | 0.872 | - | - |
| Li_2017 | NonCoh | NonCoh_Low | 0 | 42.652 | - | - | - | - | - | 0.017 | 0.177 | 6.375 × 10−10 | 0.02 | 0.067 | 0.047 | 0.076 | 0.424 | 0.877 | - | - |
| Li_2017 | NonCoh | NonCoh_None | 0 | 0 | - | - | - | - | - | 0.039 | 0.217 | 0.124 | 0.025 | 0.06 | 0.047 | 0.076 | 0.536 | 0.795 | - | - |
| Orvain_2022 | S100V0 | S100V0_Adul | 0 | 319.329 | - | - | - | - | - | 0.034 | 1.14 | 0.432 | 0.104 | 0.503 | 0.083 | 0.383 | 1.248 | 1.315 | - | - |
| Orvain_2022 | S100V0 | S100V0_Cont | 0 | 0 | - | - | - | - | - | 0.397 | 0.039 | 1.404 × 10−9 | 0.16 | 0.535 | 0.083 | 0.383 | 1.915 | 1.398 | - | - |
| Orvain_2022 | S100V0 | S100V0_Juve | 0 | 368.327 | - | - | - | - | - | 0.002 | 1.055 | 0.197 | 0.006 | 0.119 | 0.083 | 0.383 | 0.067 | 0.312 | - | - |
| Cozzoli_2020 | 4P | 4P_CONT | 0.04 | 0 | - | - | - | - | - | 0.001 | 0.095 | 1.821 × 10−10 | 0.063 | 0.075 | 0.071 | 0.074 | 0.889 | 1.012 | - | - |
| Cozzoli_2020 | 4P | 4P_F15 | 0.04 | 88.357 | - | - | - | - | - | 7.713 | 0.046 | 0.002 | 1.054 × 10−4 | 1.129 × 10−4 | 0.071 | 0.074 | 0.001 | 0.002 | - | - |
| Cozzoli_2020 | 4P | 4P_F20 | 0.04 | 71.449 | - | - | - | - | - | 0.008 | 0.028 | 1.706 × 10−10 | 0.008 | 0.004 | 0.071 | 0.074 | 0.113 | 0.052 | - | - |
| Cozzoli_2020 | 4P | 4P_F27 | 0.04 | 57.419 | - | - | - | - | - | 0.04 | 0.044 | 0.021 | 0.013 | 0.009 | 0.071 | 0.074 | 0.18 | 0.12 | - | - |
| Cozzoli_2020 | 4P | 4P_F35 | 0.04 | 47.513 | - | - | - | - | - | 0.03 | 0.077 | 0.083 | 0.001 | 0.004 | 0.071 | 0.074 | 0.018 | 0.047 | - | - |
| Dairain_2019 | NoPHY_MPB | NoPHY_MPB_Low | 0.044 | 46.964 | - | - | - | - | - | 0.168 | 0.144 | 0.284 | 0.311 | 0.31 | 1.201 | 0.752 | 0.259 | 0.412 | - | - |
| Dairain_2019 | NoPHY_MPB | NoPHY_MPB_Medium | 0.044 | 117.41 | - | - | - | - | - | 0.002 | 0.182 | 0.333 | 5.950 × 10−4 | 0.001 | 1.201 | 0.752 | 4.955 × 10−4 | 0.002 | - | - |
| Dairain_2019 | NoPHY_MPB | NoPHY_MPB_None | 0.044 | 0 | - | - | - | - | - | 10 | 1.158 | 2.738 × 10−8 | 1.019 | 0.753 | 1.201 | 0.752 | 0.848 | 1.002 | - | - |
| Dairain_2019 | NoPHY_NoMPB | NoPHY_NoMPB_Low | 0.044 | 46.964 | - | - | - | - | - | 8.772 × 10−4 | 0.295 | 0.229 | 9.663 × 10−13 | 7.022 × 10−12 | 0.271 | 0.496 | 3.572 × 10−12 | 1.414 × 10−11 | - | - |
| Dairain_2019 | NoPHY_NoMPB | NoPHY_NoMPB_Medium | 0.044 | 117.41 | - | - | - | - | - | 1.573 | 0.3 | 0.382 | 0.011 | 0.013 | 0.271 | 0.496 | 0.041 | 0.025 | - | - |
| Dairain_2019 | NoPHY_NoMPB | NoPHY_NoMPB_None | 0.044 | 0 | - | - | - | - | - | 0.324 | 0.648 | 0.352 | 0.41 | 0.631 | 0.271 | 0.496 | 1.516 | 1.272 | - | - |
| Dairain_2019 | PHY_MPB | PHY_MPB_Low | 0.044 | 46.964 | - | - | - | - | - | 0.109 | 0.452 | 8.373 × 10−6 | 0.081 | 0.128 | 2.282 | 1.061 | 0.035 | 0.121 | - | - |
| Dairain_2019 | PHY_MPB | PHY_MPB_Medium | 0.044 | 117.41 | - | - | - | - | - | 5.438 | 0.306 | 5.895 | 0.003 | 0.008 | 2.282 | 1.061 | 0.001 | 0.008 | - | - |
| Dairain_2019 | PHY_MPB | PHY_MPB_None | 0.044 | 0 | - | - | - | - | - | 5.474 × 10−6 | 0.016 | 0.003 | 2.336 | 1.076 | 2.282 | 1.061 | 1.024 | 1.014 | - | - |
| Dairain_2019 | PHY_NoMPB | PHY_NoMPB_Low | 0.044 | 46.964 | - | - | - | - | - | 3.386 × 10−14 | 3.682 × 10−4 | 0.021 | 0.034 | 0.052 | 0.018 | 0.169 | 1.882 | 0.306 | - | - |
| Dairain_2019 | PHY_NoMPB | PHY_NoMPB_Medium | 0.044 | 117.41 | - | - | - | - | - | 2.387 × 10−14 | 5.417 × 10−5 | 0.023 | 0.041 | 0.042 | 0.018 | 0.169 | 2.321 | 0.249 | - | - |
| Dairain_2019 | PHY_NoMPB | PHY_NoMPB_None | 0.044 | 0 | - | - | - | - | - | 0.054 | 0.68 | 0.057 | 4.385 × 10−10 | 1.296 × 10−8 | 0.018 | 0.169 | 2.461 × 10−8 | 7.650 × 10−8 | - | - |
| Orvain_2022 | S75V25 | S75V25_Adul | 0.085 | 247.3 | - | - | - | - | - | 2.142 × 10−11 | 1.1 | 0.276 | 0.049 | 0.133 | 0.398 | 0.49 | 0.124 | 0.271 | - | - |
| Orvain_2022 | S75V25 | S75V25_Cont | 0.085 | 0 | - | - | - | - | - | 1.528 | 1.854 | 3.964 | 0.33 | 0.471 | 0.398 | 0.49 | 0.829 | 0.96 | - | - |
| Orvain_2022 | S75V25 | S75V25_Juve | 0.085 | 317.314 | - | - | - | - | - | 2.498 × 10−14 | 1.769 | 2.073 | 0.068 | 0.2 | 0.398 | 0.49 | 0.171 | 0.407 | - | - |
| Cozzoli_2020 | 10P | 10P_CONT | 0.1 | 0 | - | - | - | - | - | 0.02 | 0.179 | 0.008 | 0.013 | 0.076 | 0.05 | 0.105 | 0.271 | 0.728 | - | - |
| Cozzoli_2020 | 10P | 10P_F15 | 0.1 | 88.357 | - | - | - | - | - | 1.006 × 10−4 | 0.02 | 0.009 | 0.016 | 0.037 | 0.05 | 0.105 | 0.316 | 0.35 | - | - |
| Cozzoli_2020 | 10P | 10P_F20 | 0.1 | 71.449 | - | - | - | - | - | 5.825 | 7.584 | 7.788 × 10−4 | 0.001 | 0.003 | 0.05 | 0.105 | 0.021 | 0.025 | - | - |
| Cozzoli_2020 | 10P | 10P_F35 | 0.1 | 47.513 | - | - | - | - | - | 0.002 | 0.071 | 8.124 × 10−9 | 3.600 × 10−9 | 1.995 × 10−8 | 0.05 | 0.105 | 7.271 × 10−8 | 1.900 × 10−7 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_High | 0.12 | 288.453 | - | - | - | - | - | 1.121 | 0.25 | 0.489 | 2.764 × 10−11 | 1.434 × 10−10 | 2.943 × 10−12 | 5.839 × 10−11 | 9.394 | 2.456 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_Low | 0.12 | 48.076 | - | - | - | - | - | 2.354 × 10−13 | 0.02 | 0.007 | 1.514 × 10−12 | 9.942 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 0.515 | 1.703 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_Medium | 0.12 | 96.151 | - | - | - | - | - | 1.221 × 10−13 | 0.014 | 0.004 | 3.568 × 10−12 | 5.462 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 1.212 | 0.935 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Big_Sparse | 0.12 | 19.23 | - | - | - | - | - | 4.493 × 10−12 | 1.163 × 10−9 | 0.002 | 4.727 × 10−22 | 4.990 × 10−10 | 2.943 × 10−12 | 5.839 × 10−11 | 1.606 × 10−10 | 8.545 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_High | 0.12 | 94.475 | - | - | - | - | - | 0.027 | 0.239 | 0.152 | 3.018 × 10−12 | 2.216 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 1.026 | 0.38 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_Low | 0.12 | 23.619 | - | - | - | - | - | 4.724 × 10−13 | 0.02 | 0.006 | 1.248 × 10−12 | 7.363 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 0.424 | 1.261 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_Medium | 0.12 | 47.238 | - | - | - | - | - | 2.450 × 10−12 | 0.02 | 0.007 | 1.411 × 10−12 | 1.096 × 10−10 | 2.943 × 10−12 | 5.839 × 10−11 | 0.48 | 1.876 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Med_Sparse | 0.12 | 11.809 | - | - | - | - | - | 1.588 × 10−13 | 0.003 | 0.004 | 4.628 × 10−12 | 8.810 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 1.573 | 1.509 | - | - |
| Cozzoli_2018 | MudSand | MudSand_None | 0.12 | 0 | - | - | - | - | - | 1.732 × 10−13 | 0.016 | 0.005 | 5.701 × 10−24 | 6.813 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 1.937 × 10−12 | 1.167 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Small_High | 0.12 | 24.902 | - | - | - | - | - | 0.006 | 0.212 | 0.149 | 3.083 × 10−12 | 2.537 × 10−11 | 2.943 × 10−12 | 5.839 × 10−11 | 1.048 | 0.435 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Small_Low | 0.12 | 6.225 | - | - | - | - | - | 2.498 × 10−14 | 4.603 × 10−4 | 0.005 | 1.406 × 10−12 | 1.314 × 10−10 | 2.943 × 10−12 | 5.839 × 10−11 | 0.478 | 2.25 | - | - |
| Cozzoli_2018 | MudSand | MudSand_Small_Medium | 0.12 | 12.451 | - | - | - | - | - | 7.772 × 10−15 | 0.019 | 0.008 | 1.086 × 10−20 | 4.083 × 10−10 | 2.943 × 10−12 | 5.839 × 10−11 | 3.690 × 10−9 | 6.993 | - | - |
| Orvain_2022 | S50V50 | S50V50_Adul | 0.179 | 277.488 | - | - | - | - | - | 0.005 | 1.49 | 0.255 | 0.015 | 0.282 | 0.35 | 0.473 | 0.041 | 0.597 | - | - |
| Orvain_2022 | S50V50 | S50V50_Cont | 0.179 | 0 | - | - | - | - | - | 4.043 × 10−6 | 0.007 | 0.004 | 0.399 | 0.513 | 0.35 | 0.473 | 1.14 | 1.084 | - | - |
| Orvain_2022 | S50V50 | S50V50_Juve | 0.179 | 346.699 | - | - | - | - | - | 8.636 × 10−7 | 0.039 | 0.013 | 0.2 | 0.608 | 0.35 | 0.473 | 0.572 | 1.286 | - | - |
| Cozzoli_2020 | 28P | 28P_CONT | 0.28 | 0 | - | - | - | - | - | 0.003 | 0.182 | 3.464 × 10−10 | 0.001 | 0.016 | 0.001 | 0.018 | 0.839 | 0.892 | - | - |
| Cozzoli_2020 | 28P | 28P_F15 | 0.28 | 88.357 | - | - | - | - | - | 3.246 × 10−4 | 0.031 | 2.281 × 10−10 | 3.502 × 10−10 | 1.546 × 10−9 | 0.001 | 0.018 | 2.652 × 10−7 | 8.611 × 10−8 | - | - |
| Cozzoli_2020 | 28P | 28P_F20 | 0.28 | 71.449 | - | - | - | - | - | 0.006 | 0.174 | 2.936 × 10−12 | 1.875 × 10−4 | 7.106 × 10−4 | 0.001 | 0.018 | 0.142 | 0.04 | - | - |
| Cozzoli_2020 | 28P | 28P_F27 | 0.28 | 57.419 | - | - | - | - | - | 5.471 × 10−5 | 0.022 | 8.843 × 10−4 | 1.155 × 10−14 | 8.755 × 10−14 | 0.001 | 0.018 | 8.743 × 10−12 | 4.878 × 10−12 | - | - |
| Cozzoli_2020 | 28P | 28P_F35 | 0.28 | 47.513 | - | - | - | - | - | 3.546 × 10−4 | 0.045 | 1.394 × 10−9 | 9.417 × 10−9 | 6.600 × 10−8 | 0.001 | 0.018 | 7.131 × 10−6 | 3.677 × 10−6 | - | - |
| Orvain_2022 | S25V75 | S25V75_Adul | 0.281 | 232.219 | - | - | - | - | - | 0.014 | 0.992 | 4.797 × 10−11 | 0.204 | 0.386 | 0.265 | 0.516 | 0.769 | 0.748 | - | - |
| Orvain_2022 | S25V75 | S25V75_Cont | 0.281 | 0 | - | - | - | - | - | 1.260 × 10−4 | 0.078 | 0.001 | 0.375 | 0.62 | 0.265 | 0.516 | 1.413 | 1.201 | - | - |
| Orvain_2022 | S25V75 | S25V75_Juve | 0.281 | 309.013 | - | - | - | - | - | 3.131 × 10−13 | 0.172 | 0.016 | 0.171 | 0.599 | 0.265 | 0.516 | 0.643 | 1.161 | - | - |
| Li_2017 | Coh | Coh_High | 0.32 | 127.527 | - | - | - | - | - | 6.856 × 10−4 | 0.082 | 0.009 | 0.002 | 0.007 | 1.000 × 10−3 | 1 | 2.185 | 0.007 | - | - |
| Li_2017 | Coh | Coh_Low | 0.32 | 42.652 | - | - | - | - | - | 2.332 × 10−4 | 0.082 | 0.016 | 1.869 × 10−4 | 0.002 | 1.000 × 10−3 | 1 | 0.187 | 0.002 | - | - |
| Li_2017 | Coh | Coh_None | 0.32 | 0 | - | - | - | - | - | 1.000 × 10−3 | 1 | 0 | 1.000 × 10−3 | 1 | 1.000 × 10−3 | 1 | 1 | 1 | - | - |
| Orvain_2022 | S0V100 | S0V100_Adul | 0.357 | 267.941 | - | - | - | - | - | 1.454 × 10−13 | 0.976 | 0.244 | 5.225 × 10−4 | 0.007 | 0.341 | 0.728 | 0.002 | 0.009 | - | - |
| Orvain_2022 | S0V100 | S0V100_Cont | 0.357 | 0 | - | - | - | - | - | 1.110 × 10−15 | 1.892 × 10−11 | 0.003 | 0.423 | 0.823 | 0.341 | 0.728 | 1.239 | 1.131 | - | - |
| Orvain_2022 | S0V100 | S0V100_Juve | 0.357 | 345.244 | - | - | - | - | - | 1.813 × 10−5 | 0.033 | 0.005 | 0.196 | 0.537 | 0.341 | 0.728 | 0.574 | 0.737 | - | - |
| Ciutat_2007 | Natural | Natural_High | 0.723 | 311.797 | - | - | - | - | - | 0.184 | 0.373 | 0.615 | 9.594 × 10−4 | 0.004 | 0.012 | 0.154 | 0.078 | 0.028 | - | - |
| Ciutat_2007 | Natural | Natural_Low | 0.723 | 47.064 | - | - | - | - | - | 0.005 | 0.282 | 0.015 | 0.004 | 0.054 | 0.012 | 0.154 | 0.334 | 0.348 | - | - |
| Ciutat_2007 | Natural | Natural_Medium | 0.723 | 141.191 | - | - | - | - | - | 3.699 × 10−4 | 0.283 | 0.036 | 0.002 | 0.025 | 0.012 | 0.154 | 0.192 | 0.159 | - | - |
| Ciutat_2007 | Natural | Natural_None | 0.723 | 0 | - | - | - | - | - | 0.003 | 0.278 | 6.014 × 10−4 | 3.754 × 10−4 | 0.028 | 0.012 | 0.154 | 0.03 | 0.179 | - | - |
| IV. Type of sediment, fluff & mass erosion | ||||||||||||||||||||
| Cozzoli_2020 | 0P | All | 0 | - | - | - | - | - | - | 2.957 × 10−4 | 0.017 | 3.631 × 10−7 | 0.025 | 0.057 | 0.014 | 0.037 | 1.877 | 1.551 | 0.004 | 0.172 |
| Li_2017 | NonCoh | All | 0 | - | - | - | - | - | - | 1.716 | 0.326 | 0.449 | 0.036 | 0.071 | 0.047 | 0.076 | 0.771 | 0.927 | 3.191 × 10−4 | 0.002 |
| Orvain_2022 | S100V0 | All | 0 | - | - | - | - | - | - | 5.345 × 10−12 | 0.037 | 0.007 | 0.263 | 5.062 × 10−4 | 0.083 | 0.383 | 3.145 | 0.001 | 0.01 | 1.665 |
| Cozzoli_2020 | 4P | All | 0.04 | - | - | - | - | - | - | 2.87 | 0.02 | 0.008 | 0.145 | 0.035 | 0.071 | 0.074 | 2.048 | 0.475 | 0.061 | 0.935 |
| Dairain_2019 | NoPHY_MPB | All | 0.044 | - | - | - | - | - | - | 7.295 | 0.194 | 0.611 | 1.491 | 0.452 | 1.201 | 0.752 | 1.242 | 0.601 | 9.481 × 10−12 | 0.477 |
| Dairain_2019 | NoPHY_NoMPB | All | 0.044 | - | - | - | - | - | - | 1.058 | 0.213 | 3.042 | 0.578 | 5.085 × 10−8 | 0.271 | 0.496 | 2.138 | 1.024 × 10−7 | 0.079 | 1.483 |
| Dairain_2019 | PHY_MPB | All | 0.044 | - | - | - | - | - | - | 0.109 | 0.283 | 1.06 | 4.798 | 0.268 | 2.282 | 1.061 | 2.102 | 0.253 | 2.815 | 0.928 |
| Dairain_2019 | PHY_NoMPB | All | 0.044 | - | - | - | - | - | - | 3.187 | 7.506 | 0.004 | 0 | 0 | 0.018 | 0.169 | 0 | 0 | 0.002 | 0 |
| Orvain_2022 | S75V25 | All | 0.085 | - | - | - | - | - | - | 0.001 | 0.22 | 0.061 | 0.654 | 3.052 × 10−13 | 0.398 | 0.49 | 1.644 | 6.223 × 10−13 | 0.05 | 1.235 |
| Cozzoli_2020 | 10P | All | 0.1 | - | - | - | - | - | - | 1.797 | 0.082 | 0.005 | 0.148 | 0.02 | 0.05 | 0.105 | 2.996 | 0.188 | 9.026 × 10−13 | 1.221 |
| Cozzoli_2018 | MudSand | All | 0.12 | - | - | - | - | - | - | 0.016 | 0.181 | 7.978 × 10−12 | 3.434 × 10−12 | 7.731 × 10−12 | 2.943 × 10−12 | 5.839 × 10−11 | 1.167 | 0.132 | 6.051 × 10−14 | 0.612 |
| Orvain_2022 | S50V50 | All | 0.179 | - | - | - | - | - | - | 0 | 0.819 | 0.304 | 0.15 | 0.005 | 0.35 | 0.473 | 0.43 | 0.01 | 9.814 | 0.797 |
| Cozzoli_2020 | 28P | All | 0.28 | - | - | - | - | - | - | 0.286 | 0.082 | 0.015 | 0.013 | 0 | 0.001 | 0.018 | 9.983 | 0 | 3.84 | 7.108 |
| Orvain_2022 | S25V75 | All | 0.281 | - | - | - | - | - | - | 9.936 × 10−4 | 0.27 | 4.025 × 10−8 | 0.414 | 1.031 × 10−14 | 0.265 | 0.516 | 1.563 | 1.998 × 10−14 | 0.101 | 1.128 |
| Li_2017 | Coh | All | 0.32 | - | - | - | - | - | - | 1.443 × 10−4 | 0.082 | 0.075 | 0.002 | 0.215 | 1.000 × 10−3 | 1 | 1.855 | 0.215 | 0.004 | 0.815 |
| Orvain_2022 | S0V100 | All | 0.357 | - | - | - | - | - | - | 2.183 × 10−4 | 0.112 | 0 | 0.251 | 0 | 0.341 | 0.728 | 0.736 | 0 | 0.081 | 0.877 |
| Ciutat_2007 | Natural | All | 0.723 | - | - | - | - | - | - | 1.067 | 0.192 | 0.56 | 0.124 | 0.002 | 0.012 | 0.154 | 10 | 0.01 | 7.849 × 10−9 | 1.445 |
| V. Global fluff erosion on fluff steps | ||||||||||||||||||||
| All | All | All | - | - | - | - | - | - | - | 6.877 × 10−6 | 0.014 | 0.005 | - | - | - | - | - | - | - | - |
| V. Global fluff & mass erosion | ||||||||||||||||||||
| All | All | All | - | - | - | - | - | - | - | 0.027 | 0.145 | 0.242 | - | - | - | - | 0.537 | 0.911 | - | - |
| Model equations | df | slope | AIC | AICc | BIC | R2 | R2_adjusted | RMSE | Sigma | nRMSE | hmc | pval_hmc | nb_param | Pool_nb |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| I. Creation of th fluff layer | ||||||||||||||
| II. Abiotic sediment erodibility | ||||||||||||||
| III. Individual fluff erosion | ||||||||||||||
| III. Individual mass erosion | ||||||||||||||
| III. Individual fluff & mass erosion | ||||||||||||||
| IV. Type of sediment, fluff & mass erosion | ||||||||||||||
| V. Global fluff erosion on fluff steps | ||||||||||||||
| V. Global fluff & mass erosion | ||||||||||||||
4 Supplementary data
4.1 Session information
Expand for R Session Info
─ Session info ───────────────────────────────────────────────────────────────
setting value
version R version 4.3.0 (2023-04-21 ucrt)
os Windows 10 x64 (build 19045)
system x86_64, mingw32
ui RTerm
language EN
collate French_France.utf8
ctype French_France.utf8
tz Europe/Paris
date 2023-08-29
pandoc 3.1.1 @ C:/Program Files/RStudio/resources/app/bin/quarto/bin/tools/ (via rmarkdown)
quarto 1.3.361 @ C:\\Users\\LEHUEN~1\\AppData\\Local\\Programs\\Quarto\\bin\\quarto.exe
─ Packages ───────────────────────────────────────────────────────────────────
package * version date (UTC) lib source
beepr * 1.3 2018-06-04 [1] CRAN (R 4.3.0)
boot * 1.3-28.1 2022-11-22 [1] CRAN (R 4.3.0)
broom * 1.0.5 2023-06-09 [1] CRAN (R 4.3.0)
colorspace * 2.1-0 2023-01-23 [1] CRAN (R 4.3.0)
conflicted * 1.2.0 2023-02-01 [1] CRAN (R 4.3.0)
data.table * 1.14.8 2023-02-17 [1] CRAN (R 4.3.0)
dplyr * 1.1.2 2023-04-20 [1] CRAN (R 4.3.0)
DT * 0.28 2023-05-18 [1] CRAN (R 4.3.0)
figpatch * 0.2 2022-05-03 [1] CRAN (R 4.3.0)
forcats * 1.0.0 2023-01-29 [1] CRAN (R 4.3.0)
geomtextpath * 0.1.1 2022-08-30 [1] CRAN (R 4.3.1)
GGally * 2.1.2 2021-06-21 [1] CRAN (R 4.3.0)
ggdist * 3.3.0 2023-05-13 [1] CRAN (R 4.3.0)
ggforce * 0.4.1 2022-10-04 [1] CRAN (R 4.3.0)
ggh4x * 0.2.4 2023-04-04 [1] CRAN (R 4.3.0)
gginnards * 0.1.2 2023-05-24 [1] CRAN (R 4.3.0)
ggplot2 * 3.4.2 2023-04-03 [1] CRAN (R 4.3.0)
ggpmisc * 0.5.2 2022-12-17 [1] CRAN (R 4.3.0)
ggpp * 0.5.2 2023-04-01 [1] CRAN (R 4.3.0)
ggpubr * 0.6.0 2023-02-10 [1] CRAN (R 4.3.0)
ggridges * 0.5.4 2022-09-26 [1] CRAN (R 4.3.0)
ggsci * 3.0.0 2023-03-08 [1] CRAN (R 4.3.0)
grafify * 3.2.0 2023-04-29 [1] CRAN (R 4.3.0)
gt * 0.9.0 2023-03-31 [1] CRAN (R 4.3.0)
gtExtras * 0.4.5 2022-11-28 [1] CRAN (R 4.3.1)
gtsummary * 1.7.1 2023-04-27 [1] CRAN (R 4.3.1)
Hmisc * 5.1-0 2023-05-08 [1] CRAN (R 4.3.0)
htmltools * 0.5.5 2023-03-23 [1] CRAN (R 4.3.0)
htmlwidgets * 1.6.2 2023-03-17 [1] CRAN (R 4.3.0)
introdataviz * 0.0.0.9003 2023-06-15 [1] Github (psyteachr/introdataviz@0519c98)
kableExtra * 1.3.4 2021-02-20 [1] CRAN (R 4.3.0)
knitr * 1.43 2023-05-25 [1] CRAN (R 4.3.0)
leaflet * 2.1.2 2023-03-10 [1] CRAN (R 4.3.0)
lmtest * 0.9-40 2022-03-21 [1] CRAN (R 4.3.0)
lubridate * 1.9.2 2023-02-10 [1] CRAN (R 4.3.0)
metR * 0.14.0 2023-03-23 [1] CRAN (R 4.3.0)
openxlsx * 4.2.5.2 2023-02-06 [1] CRAN (R 4.3.0)
patchwork * 1.1.2 2022-08-19 [1] CRAN (R 4.3.0)
performance * 0.10.4 2023-06-02 [1] CRAN (R 4.3.0)
plotly * 4.10.2 2023-06-03 [1] CRAN (R 4.3.0)
pracma * 2.4.2 2022-09-22 [1] CRAN (R 4.3.0)
purrr * 1.0.1 2023-01-10 [1] CRAN (R 4.3.0)
quantreg * 5.95 2023-04-08 [1] CRAN (R 4.3.0)
rayshader * 0.35.7 2023-06-13 [1] CRAN (R 4.3.0)
RColorBrewer * 1.1-3 2022-04-03 [1] CRAN (R 4.3.0)
readr * 2.1.4 2023-02-10 [1] CRAN (R 4.3.0)
readxl * 1.4.2 2023-02-09 [1] CRAN (R 4.3.0)
reshape2 * 1.4.4 2020-04-09 [1] CRAN (R 4.3.0)
rlist * 0.4.6.2 2021-09-03 [1] CRAN (R 4.3.0)
rstatix * 0.7.2 2023-02-01 [1] CRAN (R 4.3.0)
scales * 1.2.1 2022-08-20 [1] CRAN (R 4.3.0)
sessioninfo * 1.2.2 2021-12-06 [1] CRAN (R 4.3.0)
sf * 1.0-13 2023-05-24 [1] CRAN (R 4.3.0)
sfheaders * 0.4.2 2023-03-03 [1] CRAN (R 4.3.0)
SparseM * 1.81 2021-02-18 [1] CRAN (R 4.3.0)
stringr * 1.5.0 2022-12-02 [1] CRAN (R 4.3.0)
tibble * 3.2.1 2023-03-20 [1] CRAN (R 4.3.0)
tidyr * 1.3.0 2023-01-24 [1] CRAN (R 4.3.0)
tidyverse * 2.0.0 2023-02-22 [1] CRAN (R 4.3.0)
tmap * 3.3-3 2022-03-02 [1] CRAN (R 4.3.0)
tmaptools * 3.1-1 2021-01-19 [1] CRAN (R 4.3.0)
unikn * 0.8.0 2023-01-06 [1] CRAN (R 4.3.0)
wesanderson * 0.3.6 2018-04-20 [1] CRAN (R 4.3.0)
zoo * 1.8-12 2023-04-13 [1] CRAN (R 4.3.0)
[1] C:/Users/lehuen201/AppData/Local/Programs/R/R-4.3.0/library
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